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Finding the Fourth Proportional to 10,575.63, 15,868.31 and 7,825.48

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Solution

The fourth proportional to 10,575.63, 15,868.31 and 7,825.48 is: 11,741.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.63 : 15,868.31 = 7,825.48 : x
  2. Step 2: Convert to fraction form
    10,575.63/15,868.31 = 7,825.48/x
  3. Step 3: Cross multiply
    10,575.63x = 15,868.31 × 7,825.48
  4. Step 4: Simplify right side
    10,575.63x = 124,177,063.74
  5. Step 5: Solve for x
    x = 124,177,063.74/10,575.63
  6. Step 6: Final answer
    x = 11,741.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.